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Simplifying -7 + -6ln(-10x + 7) = -25 Reorder the terms: -7 + -6ln(7 + -10x) = -25 -7 + (7 * -6ln + -10x * -6ln) = -25 -7 + (-42ln + 60lnx) = -25 Solving -7 + -42ln + 60lnx = -25 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -42ln + 7 + 60lnx = -25 + 7 Reorder the terms: -7 + 7 + -42ln + 60lnx = -25 + 7 Combine like terms: -7 + 7 = 0 0 + -42ln + 60lnx = -25 + 7 -42ln + 60lnx = -25 + 7 Combine like terms: -25 + 7 = -18 -42ln + 60lnx = -18 Reorder the terms: 18 + -42ln + 60lnx = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -42ln + 60lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(3 + -7ln + 10lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(3 + -7ln + 10lnx)' equal to zero and attempt to solve: Simplifying 3 + -7ln + 10lnx = 0 Solving 3 + -7ln + 10lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -7ln + -3 + 10lnx = 0 + -3 Reorder the terms: 3 + -3 + -7ln + 10lnx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7ln + 10lnx = 0 + -3 -7ln + 10lnx = 0 + -3 Combine like terms: 0 + -3 = -3 -7ln + 10lnx = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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